一个捕食者、两个相互竞争的被捕食者的变时滞Lotka-Volterra生态动力学模型（英文）  

A Lotka-Volterra Ecodynamic Model of One Predator and Two CompetingPreys with Variable Delays

作　　者：张道祥[1,2] 丁伟伟[1] 周文[1] 吕翔[3] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000 [2]北京工业大学机械工程与应用电子技术学院,北京100124 [3]上海师范大学数理学院,上海200234

出　　处：《杭州师范大学学报（自然科学版）》2014年第3期254-261,共8页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：Supported by the TianYuan Special Funds of the National Natural Science Foundation for young Scientists of China(11126237);the National Natural Science Foundation of China(11302002);the Foundation of Outstanding Young Talent in University of Anhui Province of China(2011SQRL022ZD)

摘　　要：研究了一类一个捕食者、两个相互竞争的被捕食者的变时滞Lotka-Volterra生态动力学模型.利用Krasnoselskii不动点定理研究了该系统的正周期解的存在性问题.最后给出一个例子说明文章的主要结果.In this paper, a Lotka-Volterra ecodynamic model of one predator and two competing preys with variable delays is proposed. By using Krasnoselskii fixed point theorem, the existence of positive periodic solutions of this model is studied, and then an example is presented to illustrate the main results.

关 键 词：正周期解 一个捕食者 两个相互竞争的被捕食者的时滞 LOTKA-VOLTERRA系统 KRASNOSELSKII不动点定理 

分 类 号：O175.1[理学—数学]